Compound Annual Growth Rate Calculator

Effortlessly calculate the average annual growth rate of an investment over a specified period.

CAGR Calculator

Calculation Results

Enter the starting value, ending value, and the number of years to calculate the Compound Annual Growth Rate.

Formula: CAGR = (Ending Value / Starting Value)^(1 / Number of Years) – 1
This formula calculates the geometric progression ratio that provides a smoothed annual growth rate over a multi-year period, assuming growth is compounded annually.

CAGR Growth Visualization

Annual Growth Projections based on CAGR

Year	Starting Value	Projected Ending Value (CAGR)
Calculations will appear here.

What is Compound Annual Growth Rate (CAGR)?

The Compound Annual Growth Rate, or CAGR, is a financial metric used to represent the average annual rate at which an investment has grown over a specific period of time, assuming that profits were reinvested at the end of each year. It smooths out volatility and provides a single, representative annual growth figure. CAGR is particularly useful for comparing the performance of different investments or for understanding the historical growth of a business metric over several years.

Who Should Use It: Investors use CAGR to evaluate the performance of stocks, mutual funds, and other assets. Businesses use it to track revenue growth, market share expansion, or customer acquisition over time. It's a key indicator for financial analysts, portfolio managers, and business strategists.

Common Misunderstandings: A frequent misunderstanding is that CAGR represents the actual growth achieved in any single year. In reality, CAGR is an average; the actual year-to-year growth can fluctuate significantly. It also assumes consistent reinvestment of earnings, which may not always reflect real-world scenarios where cash is withdrawn or added.

CAGR Formula and Explanation

The formula to calculate Compound Annual Growth Rate is as follows:

CAGR = ( (Ending Value / Starting Value) ^ (1 / Number of Years) ) – 1

Let's break down the variables:

CAGR Formula Variables

Variable	Meaning	Unit	Typical Range
Ending Value	The value of the investment or metric at the end of the period.	Currency / Unitless	Any positive number
Starting Value	The value of the investment or metric at the beginning of the period.	Currency / Unitless	Any positive number
Number of Years	The total duration of the investment or period in years.	Years	Typically 1 or more integer years

The result of the CAGR formula is a decimal. To express it as a percentage, multiply the result by 100. For example, a CAGR of 0.10 is equivalent to 10% growth per year.

Practical Examples

Example 1: Investment Growth

An investor bought shares of a company for $10,000. After 5 years, the value of those shares has grown to $25,000. What is the Compound Annual Growth Rate?

• Starting Value: $10,000
• Ending Value: $25,000
• Number of Years: 5

Using the calculator or the formula:

CAGR = (($25,000 / $10,000) ^ (1 / 5)) – 1

CAGR = (2.5 ^ 0.2) – 1

CAGR = 1.2011 – 1

CAGR = 0.2011 or 20.11%

This means the investment grew at an average rate of 20.11% per year over the 5-year period.

Example 2: Business Revenue Growth

A small business had $150,000 in revenue in its first year. By its fifth year, its revenue had increased to $300,000. What is the average annual revenue growth rate?

• Starting Value: $150,000
• Ending Value: $300,000
• Number of Years: 4 (from year 1 to year 5 is 4 years of growth)

Using the calculator or the formula:

CAGR = (($300,000 / $150,000) ^ (1 / 4)) – 1

CAGR = (2 ^ 0.25) – 1

CAGR = 1.1892 – 1

CAGR = 0.1892 or 18.92%

The business experienced an average annual revenue growth of 18.92% over those four years.

How to Use This Compound Annual Growth Rate Calculator

1. Enter Starting Value: Input the initial amount or metric value at the beginning of your measurement period. This can be in dollars for investments or any relevant unit for business metrics.
2. Enter Ending Value: Input the final amount or metric value at the end of your measurement period.
3. Enter Number of Years: Specify the total duration in years over which the growth occurred. Ensure this is a whole number or a decimal representing years.
4. Click Calculate CAGR: The calculator will instantly compute and display the CAGR.
5. Interpret Results: The primary result shows the Compound Annual Growth Rate as a percentage. The calculator also displays your input values and the investment period for clarity. The visualization and table offer a projection of growth based on this CAGR.
6. Copy Results: Use the "Copy Results" button to easily transfer the calculated CAGR, input values, and period to your reports or notes.

Selecting Correct Units: For most CAGR calculations, the units of the starting and ending values must be the same (e.g., both in USD, both in thousands of units sold). The CAGR itself is expressed as a percentage, which is unitless in terms of the original metric.

Key Factors That Affect CAGR

1. Starting and Ending Values: The larger the difference between the ending and starting values (relative to the starting value), the higher the CAGR will be, assuming the time period remains constant.
2. Time Period: A longer time period allows for more compounding, but if the absolute growth is smaller, the CAGR might be lower. Conversely, rapid growth over a shorter period can result in a very high CAGR.
3. Volatility: CAGR smooths out year-to-year fluctuations. High volatility can mask underlying risks or unsustainable growth patterns. An investment with a high CAGR might have experienced significant ups and downs, whereas another with a lower CAGR might have shown steady, predictable growth.
4. Reinvestment Assumption: CAGR inherently assumes that all profits or growth are reinvested. If cash is withdrawn during the period, the actual realized return might be lower than the calculated CAGR.
5. Inflation: CAGR is a nominal growth rate. It does not account for inflation. For a true measure of purchasing power growth, real CAGR (adjusted for inflation) should be considered.
6. Market Conditions: External factors like economic cycles, industry trends, and competitive landscapes significantly influence the growth of investments and businesses, thereby impacting CAGR.
7. Investment Strategy: The specific investment choices or business strategies employed directly contribute to the growth rate achieved over time.

FAQ about Compound Annual Growth Rate

Q1: What is the difference between CAGR and simple annual return?

A: Simple annual return calculates the growth for a single year (e.g., (End – Start) / Start). CAGR calculates the average annual growth over multiple years, accounting for compounding, providing a smoother, more representative figure for longer periods.

Q2: Can CAGR be negative?

A: Yes, CAGR can be negative if the ending value is less than the starting value, indicating a loss over the period. The formula still applies correctly.

Q3: Does CAGR account for taxes?

A: No, standard CAGR calculations do not account for taxes or transaction fees. It represents gross growth before such deductions.

Q4: What is a "good" CAGR?

A: A "good" CAGR is relative. For stock market investments, historical averages might be around 7-10%. For high-growth startups or specific venture capital, much higher CAGRs (20%+) might be targeted. It should always be compared against benchmarks and risk levels.

Q5: Can I use CAGR for periods less than a year?

A: The standard CAGR formula is designed for annual periods. While you can technically input fractional years, it's best used for whole year durations. For intra-year growth, other metrics might be more appropriate.

Q6: How does the number of years affect CAGR?

A: Over longer periods, the compounding effect becomes more pronounced. A consistent growth rate over 10 years will result in a higher ending value than the same rate over 5 years, but the CAGR itself remains the same if the ratio of ending to starting value over the respective periods is maintained.

Q7: What if my starting or ending value is zero?

A: If the starting value is zero, CAGR cannot be calculated using this formula, as it involves division by zero. If the ending value is zero, the CAGR will be -100% (assuming a positive starting value and period greater than zero).

Q8: Can I use CAGR to compare investments with different risk profiles?

A: CAGR is a useful tool for comparing returns, but it doesn't directly measure risk. It's important to consider risk-adjusted returns (like the Sharpe Ratio) when comparing investments with significantly different risk levels.